Lesson Example Discussion Quiz: Class Homework |
Step-4 |
Title: Angles(Interior & Exterior) |
Grade: 4-a Lesson: S2-L2 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
If each interior angle is equal to 140°, then how many sides does a polygon have? |
|
2 |
Step |
Given that, one interior angle is |
140° |
3 |
Formula |
Sum of interior angles of a regular polygon |
\$(n − 2) \times 180°\$ |
4 |
Step |
Interior angle of a regular polygon |
\$(n − 2) × (180°) / n\$ |
5 |
Step |
substitute the values |
140° = \$((n − 2) × (180°)) / n\$ |
6 |
Step |
After Simplication |
140n = 180n - 360 |
7 |
Step |
Subtract 140n on both sides |
140n - 140 = 180n - 140n - 360 40n = 360 |
8 |
Step |
Divide 40 on both sides |
\$(40n)/40 = 360/40\$ n = 9 |
9 |
Step |
Hence, If an interior angle of a regular polygon measures 140°, it has 9 sides. |
|
10 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
11 |
Choice.A |
This is not correct because it does not yield an interior angle of 140 when plugged into the formula |
4 sides |
12 |
Choice.B |
This is correct because it satisfies the condition that the interior angle is 140 |
9 sides |
13 |
Choice.C |
This is not correct because it does not yield an interior angle of 140 when plugged into the formula |
8 sides |
14 |
Choice.D |
This is not correct because it does not yield an interior angle of 140 when plugged into the formula |
10 sides |
15 |
Answer |
Option |
B |
16 |
SumUp |
Can you summarize what you’ve understood in the above steps? |
|
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